Ionic EquilibriumHard

Question

The silver ion concentration in a 0.2 M solution of Ag(NH3)2NO3 is (Kdiss = 6.8 × 10−8, 1.53 = 3.4)

Options

A.0.2 M
B.1.5 × 10−3 M
C.1.16 × 10−4 M
D.6.8 × 10−8 M

Solution

$Ag\left( NH_{3} \right)_{2}^{+} \rightleftharpoons Ag^{+} + 2NH_{3}$;Keq = 6.8 × 10–8

0.2 M 0 0

Eqn 0.2 – x = 0.2 M xM 2xM

Now, $6.8 \times 10^{- 8} = \frac{x \times (2x)^{2}}{0.2}$

$\Rightarrow x = 1.5 \times 10^{- 3}\text{ M = }\left\lbrack Ag^{+} \right\rbrack$

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